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Finding the Fourth Proportional to 3,502.07, 5,252.80 and 1,161.30

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Solution

The fourth proportional to 3,502.07, 5,252.80 and 1,161.30 is: 1,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.07 : 5,252.80 = 1,161.30 : x
  2. Step 2: Convert to fraction form
    3,502.07/5,252.80 = 1,161.30/x
  3. Step 3: Cross multiply
    3,502.07x = 5,252.80 × 1,161.30
  4. Step 4: Simplify right side
    3,502.07x = 6,100,070.83
  5. Step 5: Solve for x
    x = 6,100,070.83/3,502.07
  6. Step 6: Final answer
    x = 1,741.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.